Birational Geometry of Moduli Spaces of Curves
by Prof. Ian Morrison
Abstract: Moduli spaces are one of the beauties of algebraic geometry: sets of isomorphism classes of objects that turn out to carry a natural algebraic structure. Many general questions are of special interest for such moduli spaces and lead to a beautiful interplay between the geometry of the objects individually and in families. In my talk, I will try to introduce and illustrate these ideas. The moduli spaces I will discuss are those of algebraic curves --- widely studied and applied in mathematical physics, symplectic geometry and number theory. The questions I will ask about them are from birational geometry and deal with maps from these spaces to complex projective spaces.
For More Information: For more information please contact: Paul Pearce (P.Pearce@ms.unimelb.edu.au)